A177737 Partial sums of A046878.

0, 1, 2, 7, 9, 17, 30, 181, 213, 296, 369, 1802, 2449, 17790, 46001, 56448, 57664, 77009, 95190, 746935, 2289093, 3753007, 6539606, 128829523, 158059067, 298060788, 432415361, 1207300530, 1953285227, 43665199740, 124195273633

Offset

0,3

Comments

Partial sums of numerator of 1/n Sum[1/BinomialCoefficient[n-1,k], {k=0...n-1}]. The subsequence of primes in the partial sum of numerators begins: 2, 7, 17, 181, x, 3753007, 158059067.

Links

Table of n, a(n) for n=0..30.

Formula

a(n) = SUM[i=0..n] A046878(i) = SUM[i=0..n] numerator of SUM[k=0..i-1] (1/i) * (1/BinomialCoefficient[i-1,k] = SUM[i=0..n] numerator of (1/2^i)*SUM[k=1..i]((2^k)/k).

Crossrefs

Cf. A046878, A046825, A046879.

Sequence in context: A199537 A079326 A055673 * A336770 A361706 A293645

Adjacent sequences: A177734 A177735 A177736 * A177738 A177739 A177740

Keyword

nonn

Author

Jonathan Vos Post, May 12 2010

Status

approved